Greatest Common Factor of 9456 and 9459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9456, 9459 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9456 and 9459 is 3.

GCF(9456,9459) = 3

GCF of 9456 and 9459

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9456 and 9459

GCF of 9456 and 9459 is 3

Prime Factorization of 9456


2 9456
2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 9456 are 2,3,197. Prime factorization of 9456 in exponential form is:

9456 = 24×31×1971

Prime Factorization of 9459


3 9459
3 3153
1051 1051
1

Prime factors of 9459 are 3,1051. Prime factorization of 9459 in exponential form is:

9459 = 32×10511

∴ So by taking common prime factors GCF of 9456 and 9459 is 3

Greatest Common Factor of 9456 and 9459 by matching factors method

Factors of 9456

List of positive integer factors of 9456 that divides 9456 without a remainder.

1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1,3,9,1051,3153,9459

Greatest Common Factor

We found the factors and prime factorization of 9456 and 9459. The biggest common factor number is the GCF number.
So the greatest common factor 9456 and 9459 is 3.

Also check out the Least Common Multiple of 9456 and 9459

Properties of GCF 9456 and 9459

(i) The GCF of 9456 and 9459 is associative

GCF of 9456 and 9459 = GCF of 9459 and 9456

Related Greatest Common Factor of 9456

Related Greatest Common Factor of 9459

Frequently Asked Questions on GCF of 9456 and 9459

1. What is the GCF of 9456 and 9459?

Answer: GCF of 9456 and 9459 is 3.

2. What are the Factors of 9456?

Answer: Factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456. There are 20 integers that are factors of 9456. The greatest factor of 9456 is 9456.

3. What are the Factors of 9459?

Answer: Factors of 9459 are 1, 3, 9, 1051, 3153, 9459. There are 6 integers that are factors of 9459. The greatest factor of 9459 is 9459.

4. How to Find the GCF of 9456 and 9459?

Answer:

Greatest Common Factor of 9456 and 9459 = 3

Step 1: Find the prime factorization of 9456

9456 = 2 x 2 x 2 x 2 x 3 x 197

Step 2: Find the prime factorization of 9459

9459 = 3 x 3 x 1051

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 9456 and 9459 is 3